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Vocabulary
Truth Values
Conditional Statements
Proofs
Properties
100
the truth or falsity of a statement
truth value
100
What is the truth value of the following statement? The square root of 64 is -8 AND -5 is greater than -7
false
100
What is the hypothesis of this conditional statement? If you live in Atlanta, then you live in Georgia
If you live in Atlanta
100
If B is the midpoint of AC, then AB = BC is an example of what theorem?
midpoint theorem
100
a = a
reflexive
200
the statement immediately following the word then in an if-then statement
conclusion
200
If p is true and q is false, what is the truth value of p V q?
true
200
Write this statement in if-then form: All cats have whiskers
If it is a cat, then it has whiskers
200
what postulate says that if A,B,C are collinear and B in that order, then AB + BC = AC
segment addition postulate
200
a + b = b + a
symmetric
300
uses facts, rules and definitions or properties to reach logical conclusions
deductive reasoning
300
If p is false and q is true, what is the truth value of not p and not q?
false
300
What is the converse of this statement? If a triangle has a right angle, then it is a right triangle.
If it is a right triangle, then it has a right angle
300
what property is represented by this step in a proof? 5(4 + x) = 3(2 + y) 20 + 5x = 6 + 3y
distributive
300
2x - 7 + 7 = 4 + 7 is an example of what property?
addition
400
if p implies q and q implies r are true, then p implies r is also try by the ____________________________
law of syllogism
400
If p is true and r is false and q is true, what is the truth value of (not p or not q) V r ?
true
400
What is the inverse of this statement? If I study for this geometry test, then I will make a good grade.
If I do not study for this test, then I will not make a good grade.
400
If angle x and angle y are complementary and angle z and angle q are complementary, and angle x is congruent to angle z, then angle y is congruent to angle q is an example of what theorem?
angles complementary to the same angle or congruent angles are congruent
400
2x-7+7 = 4 + 7, so 2x = 11 is an example of what property?
substitution
500
a conditional statement using the word OR, such as p or q, is an example of a ____________________
disjunction
500
p: -5 squared is - 25 q: angles that are complementary add up to 180 r: vertical angles are congruent what is the truth value of (not p and not q) and r ?
true
500
What is the contrapositive of this statement? If I do well on the SAT, then I can get into the college of my choice.
If I cannot get into the college of my choice, then I did not do well on the SAT.
500
what is a reason for the following statement? If AC bisects angle BAD then angle BAC and angle CBD are congruent.
Definition of angle bisector
500
a = b and b = c, then a = c
transitive